Sounds to me like file and directory permissions are seriously messed up:
Warning: fopen(db/local.php): failed to open stream: Permission denied in /home/phoenix/public_html/wiki/tiki-install.php on line 306
Means that the installer cannot write to the db/local.php file. Probably because db/ is not writable by apache, or your PHP is running with openbasedir or safe mode on.
Im afraid to say that its not a fault of TikiWiki but your actual apache/php configuration